
In Eq. (REF ), \(\textbf {c}\)  is the underlying convective fluid flow vector with components \(c_x\)  and \(c_z\)  and \(B\)  is a real valued parameter that is related to the Weber number as described in [1]}. Note that the forcing function in Eq. (REF ) has the real-valued amplitude \(A\) . As written, the constraints in Eq. (REF ) are chosen to be homogeneous; care, however, has been taken in making that choice. It is clear from the 1D-KRK and the 1D-CMH [1]}, [3]} analyses that the form of initial conditions can affect whether algebraic growth occurs. This is discussed further in the next section, before proceeding to examine the solution to the system in Eq. (REF ).
